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Small continuous sensory and mechanical perturbations have often been used to identify properties of the closed-loop neural control of posture and other systems that are approximately linear time invariant. Here we extend this approach to…

神经元与认知 · 定量生物学 2016-10-31 Tim Kiemel , David Logan , John J. Jeka

Limit cycles are self-sustained, closed trajectories in phase space representing (un)-stable, periodic behavior in nonlinear dynamical systems. They underpin diverse natural phenomena, from neuronal firing patterns to engineering…

适应与自组织系统 · 物理学 2025-08-15 Sandip Saha , Suvam Pal , Dibakar Ghosh

Over the past two decades, an increasing array of control-theoretic methods have been used to study the brain as a complex dynamical system and better understand its structure-function relationship. This article provides an overview on one…

神经元与认知 · 定量生物学 2024-10-18 Michael McCreesh , Erfan Nozari , Jorge Cortes

Recurrent Neural Network models have elucidated the interplay between structure and dynamics in biological neural networks, particularly the emergence of irregular and rhythmic activities in cortex. However, most studies have focused on…

神经元与认知 · 定量生物学 2025-09-04 Nimrod Sherf , Xaq Pitkow , Krešimir Josić , Kevin E. Bassler

The human brain exhibits a relatively stable spatiotemporal organization that supports brain function and can be manipulated via local brain stimulation. Such perturbations to local cortical dynamics are globally integrated by distinct…

神经元与认知 · 定量生物学 2018-01-19 Leonardo L. Gollo , James A. Roberts , Luca Cocchi

In exploring the simulation of human rhythmic perception and synchronization capabilities, this study introduces a computational model inspired by the physical and biological processes underlying rhythm processing. Utilizing a reservoir…

神经元与认知 · 定量生物学 2025-03-28 Zhongju Yuan , Wannes Van Ransbeeck , Geraint Wiggins , Dick Botteldooren

Oscillatory synchrony is hypothesized to support the flow of information between brain regions, with different phase-locked configurations enabling activation of different effective interactions. Along these lines, past work has proposed…

神经元与认知 · 定量生物学 2022-08-26 Lia Papadopoulos , Demian Battaglia , Dani S. Bassett

Although recurrent neural networks (RNNs) trained on cognitive tasks have become a widely used framework for studying neural computation, the internal mechanisms by which RNNs switch between rhythms across multiple frequency bands, and how…

神经元与认知 · 定量生物学 2026-05-15 Yutaka Yamaguti , Shota Nakamura

When dynamical systems that produce rhythmic behaviors operate within hard limits, they may exhibit limit cycles with sliding components, that is, closed isolated periodic orbits that make and break contact with a constraint surface.…

动力系统 · 数学 2020-11-03 Yangyang Wang , Jeffrey P. Gill , Hillel J. Chiel , Peter J. Thomas

Triadic interactions are general mechanisms by which a node or neuron can regulate directly the link or synapse between other two neurons. The regulation takes place in a familiar way by either depressing or facilitating synaptic…

神经元与认知 · 定量生物学 2024-11-01 Ana P. Millán , Hanlin Sun , Joaquín J. Torres

Brain oscillations exhibit long-range temporal correlations (LRTCs), which reflect the regularity of their fluctuations: low values representing more random (decorrelated) while high values more persistent (correlated) dynamics. LRTCs…

Neural synchronization is believed to be critical for many brain functions. It frequently exhibits temporal variability, but it is not known if this variability has a specific temporal patterning. This study explores these…

神经元与认知 · 定量生物学 2013-03-11 Sungwoo Ahn , Leonid L. Rubchinsky

Flexible modulation of temporal dynamics in neural sequences underlies many cognitive processes. For instance, we can adaptively change the speed of motor sequences and speech. While such flexibility is influenced by various factors such as…

神经元与认知 · 定量生物学 2025-04-15 Tomoki Kurikawa , Kunihiko Kaneko

Brain rhythms contribute to every aspect of brain function. Here, we study critical and resonance phenomena that precede the emergence of brain rhythms. Using an analytical approach and simulations of a cortical circuit model of neural…

无序系统与神经网络 · 物理学 2015-06-12 A. V. Goltsev , M. A. Lopes , K. -E. Lee , J. F. F. Mendes

The cooperative behavior of neurons and neuronal areas associated with the synchronization behavior proves to be a fundamental neural mechanism. In addition, abnormal levels of synchronization have been related to unhealthy neural…

生物物理 · 物理学 2023-11-16 Bruno R. R. Boaretto

Experimental characterization of neuronal dynamics involves recording both of spontaneous activity patterns and of responses to transient and sustained inputs. While much theoretical attention has been devoted to the spontaneous activity of…

神经元与认知 · 定量生物学 2020-07-24 Jonathan Rubin , Justyna Signerska-Rynkowska , Jonathan D. Touboul

Many natural systems are organized as networks, in which the nodes (be they cells, individuals or populations) interact in a time-dependent fashion. The dynamic behavior of these networks depends on how these nodes are connected, which can…

神经元与认知 · 定量生物学 2015-06-22 Anca Radulescu , Sergio Verduzco-Flores

The sudden onset of deleterious and oscillatory dynamics (often called instabilities) is a known challenge in many fluid, plasma, and aerospace systems. These dynamics are difficult to address because they are nonlinear, chaotic, and are…

机器学习 · 计算机科学 2024-05-31 John W. Brooks , Christine M. Greve

Synchronization in neural system plays an important role in many brain functions. Synchronization in the gamma frequency band (30Hz-100Hz) is involved in a variety of cognitive phenomena; abnormalities of the gamma synchronization are found…

神经元与认知 · 定量生物学 2021-04-26 Quynh-Anh Nguyen , Leonid L Rubchinsky

The concept of the brain as a critical system is very attractive because systems close to criticality are thought to maximise their dynamic range of information processing and communication. To date, there have been two key experimental…

无序系统与神经网络 · 物理学 2014-10-22 Maria Botcharova , Simon F. Farmer , Luc Berthouze
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